%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR068+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:07:05 AM UTC 2026
% Result : Theorem 0.06s 0.36s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 10 ~; 6 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 7 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax2_7997,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax2_7997) ).
fof(ax2_2460,axiom,
! [INS] :
( ( furpelt(INS)
& mtvisible(c_tptp_spindleheadmt) )
=> tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
file('theBenchmark.p',ax2_2460) ).
fof(query168,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('theBenchmark.p',query168) ).
fof(query168_neg,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(assume_negation,[status(cth)],[query168]) ).
cnf(c_88,plain,
( tptpofobject(A,f_tptpquantityfn_1(n_328))
| ~ furpelt(A)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(clausify,[status(thm)],[ax2_2460]) ).
fof(ax2_385,axiom,
furpelt(c_theprototypicalfurpelt),
file('theBenchmark.p',ax2_385) ).
cnf(c_143,plain,
furpelt(c_theprototypicalfurpelt),
inference(clausify,[status(thm)],[ax2_385]) ).
fof(ax2_1607,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',ax2_1607) ).
cnf(c_144,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[ax2_1607]) ).
cnf(c_165,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax2_7997]) ).
cnf(c_167,negated_conjecture,
mtvisible(c_tptp_member2356_mt),
inference(clausify,[status(thm)],[query168_neg]) ).
cnf(c_168,negated_conjecture,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(clausify,[status(thm)],[query168_neg]) ).
cnf(c_184,negated_conjecture,
( ~ furpelt(c_theprototypicalfurpelt)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolve,[status(thm)],[c_168,c_88]) ).
cnf(c_170,negated_conjecture,
~ mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_143,c_184]) ).
cnf(c_185,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_member2356_mt,A) ),
inference(resolve,[status(thm)],[c_165,c_167]) ).
cnf(c_186,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_185,c_144]) ).
cnf(c_183,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_170,c_186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR068+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 00:34:58 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.03/0.31 % Process 1815220 was started by sandbox2 on n012,
% 0.03/0.31 % Sun Sep 27 00:34:58 2026
% 0.03/0.31 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.06/0.36
% 0.06/0.36 % SInE (scan): 65 to sos (tol 1.5x), 26 to usable (tol 2.0x), 7914 zapped, of 8005 axioms (depth 3).
% 0.06/0.36
% 0.06/0.36 % From the command line: assign(max_seconds, 300).
% 0.06/0.36
% 0.06/0.36 % SZS status Theorem for theBenchmark
% 0.06/0.36
% 0.06/0.36 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.06/0.36 % Length of proof is 11.
% 0.06/0.36 % Level of proof is 3.
% 0.06/0.36 % Maximum clause weight is 14.000.
% 0.06/0.36 % Given clauses 24.
% 0.06/0.36
% 0.06/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------